@Maksim:
The "Allow filtering Delivery Status Notification" option will only cause emails sent with blank SMTP sender addresses to be tested like all other regular emails (i.e., they will not be whitelisted), it will not automatically blacklist them.

If you wish to blacklist all emails with blank senders, follow the steps below:

1. Start the ORF Administration Tool2. Expand Configuration / Tests / Tests in the left navigation tree and make sure the Sender Blacklist test is enabled3. Expand Configuration / Tests / Sender Blacklist and click New4. Copy\paste the following to the "Email address/Mask" field: ^\s*$5. Set the "Masking type" to "Regular expression"6. Add a comment, so you can identify the rejections triggered by this expression in the ORF Log Viewer (e.g. "blank sender filter")7. Click OK8. Press Ctrl + S to save your settings and to apply the configuration changes.

Note that this will also blacklist all legitimate Non-Delivery Reports, as those are also sent with blanks sender addresses.

In 4.4, it is on the Configuration / Global / Miscellaneous page of the Administration Tool. "Allow Filtering Delivery Status Notifications" must be checked in order to run tests (including Greylisting) on blank sender emails.

^\s*$ - is good solution, but ...In this case You can't send any mail to recipient, that use check "sender e-maial address check". Because you can't recieve (reject!) checking mail from recipient with blank sender!And what to do in this case?

Some antispam system in mail server, before passed incomming mail, try send letter with blank field "From" to address from field "From" in incomming mail. If this mail is not rejected - sender address is correct and incomming mail passed. This is wrong algorythm, but many antispam systems use it ("sender mail address check").

If I use "^\s*$" in test "Sender blacklist" before arrival, I can't send any mail to recipient, that use check "sender e-mail address check". Because I can't recieve checking mail from recipient with blank sender!Set "On arrival" to test "Sender blacklist" maybe can help?

@ank1965:
Thanks, now I understand. Yes, assigning the Sender Blacklist test to On Arrival should solve the problem theoretically, as the sender server performs the callback verification (also known as callout verification or Sender Address Verification) by issuing an RCPT TO: command (Before Arrival) and then quits.